Order and Ranking
Overview
Order and Ranking is a staple topic in IBPS PO Prelims Reasoning section, appearing as 2–4 direct questions or embedded within puzzles. The concept is simple: determine the position of a person or object in a sequence based on given conditions. Questions involve rankings from top/bottom in a class, left/right in a row, or age-based ordering among a group.
This topic is a quick scoring area if you master the core formulas and avoid careless errors. The questions test your ability to translate verbal statements into numerical positions and work with relationships like "above," "below," "between," and "from either end." Since these questions can be solved in under a minute each, they're ideal for building time cushion in the exam.
Mastery requires: (1) knowing the standard formulas by heart, (2) careful reading to avoid direction traps, and (3) systematic practice with age-based and position-exchange variants.
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Key Concepts
- **Position from opposite ends**: If you know a person's rank from one end, you can find their rank from the other using the total count. This relationship is the backbone of almost every question.
- **Total count determination**: When two different positions of the same person are given (from top and bottom, or left and right), add them and subtract 1 to get the total.
- **Positions between two people**: The number of persons between two ranks equals the difference of their positions minus 1. Alternatively, Total = Sum of positions from opposite ends − 1.
- **Position after interchange**: When two people exchange positions, their ranks swap but the total remains unchanged. Track carefully whose position is asked after the swap.
- **Age-based ranking**: Age ordering follows the same logic—oldest = rank 1 from top, youngest = rank 1 from bottom. Convert age comparisons to position comparisons.
- **Same vs. different direction positions**: "5th from left" and "5th from right" refer to different people unless total = 9. Always check if positions refer to the same or different individuals.
- **Minimum vs. exact total**: When only partial information is given, calculate minimum possible total. If positions overlap or gap is unknown, the answer may be "cannot be determined" or "minimum N persons."
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Formulas / Key Facts
**Position from other end:** Position from other end = Total − Position from given end + 1
**Total when both positions of same person are known:** Total = Position from top + Position from bottom − 1 Total = Position from left + Position from right − 1